Match the LIST-I with LIST-II.

	List – I		List – II
A.	Commutative law	I.	​$$P \land (Q \lor R) \equiv (P \land Q) \lor (P \land R)$$​​
B.	Distributive law	II.	​$$P \land (P \lor Q) \equiv P$$​​
C.	Demorgan law	III.	​$$P \land Q \equiv Q \land P$$​​
D.	Adsorption law	IV.	​$$\neg(P \lor Q) \equiv \neg P \land \neg Q$$​​

Choose the correct answer from the options given below:

Correct option is C

We need to match each Boolean/propositional logic law in List-I with its corresponding expression in List-II.
A. Commutative Law → III
The commutative law states that the order of operands does not affect the result.
For conjunction (AND):
​$$P\land Q\equiv Q\land P$$​​
B. Distributive Law → I
The distributive law allows conjunction to be distributed over disjunction:
​$$P\land(Q\lor R) \equiv (P\land Q)\lor(P\land R)$$​​
C. De Morgan's Law → IV
One of De Morgan's laws is:
​$$\neg(P\lor Q) \equiv \neg P\land\neg Q$$​​
The other De Morgan's law is:
​$$\neg(P\land Q) \equiv \neg P\lor\neg Q$$​​
D. Absorption Law → II
The absorption law states:
​$$P\land(P\lor Q)\equiv P$$​​
Another form of the absorption law is:
​$$P\lor(P\land Q)\equiv P$$​​
Information Booster
1. Commutative: $$P\land Q\equiv Q\land P$$​​
2. Distributive: $$P\land(Q\lor R)\equiv(P\land Q)\lor(P\land R)$$​​
3. De Morgan: $$\neg(P\lor Q)\equiv\neg P\land\neg Q$$​​
4. Absorption: $$P\land(P\lor Q)\equiv P$$​​
5. The two most important De Morgan laws are:
​$$\neg(P\lor Q)\equiv\neg P\land\neg Q$$​​
​$$\neg(P\land Q)\equiv\neg P\lor\neg Q$$​​
Additional Knowledge
A quick way to identify these laws:
· Commutative → Swap
· Distributive → Distribute
· De Morgan → Negation changes AND ↔ OR
· Absorption → One expression absorbs the other